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SageMath
E = EllipticCurve("cn1")
E.isogeny_class()
Elliptic curves in class 176400.cn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.cn1 | 176400rr1 | \([0, 0, 0, -3737475, 3658558050]\) | \(-1947910950/823543\) | \(-2441044981556455680000\) | \([]\) | \(8515584\) | \(2.8117\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.cn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 176400.cn do not have complex multiplication.Modular form 176400.2.a.cn
sage: E.q_eigenform(10)